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Scalar and Vector Operations

Calculating magnitude of a vector and height

If A = (12i - 16j) and B = (-24i+10j), what is the magnitude of the vector C=(2A-B)? Answers: a) 42 b) 22 c) 64 d) 90 An archer shoots an arrow with a velocity of 45 m/s at an angle of 50 degrees with the horizontal. What is the height of the arrow at a point 150 meters downrange? Answers: a) 4.7 m b) 47.0 m c) 5

Vector Components

In 1992, Akira Matsushima, from Japan, rode a unicycle across the United States, covering about 4800 km in six weeks. Suppose that, during that trip, he had to find his way through a city with plenty of one way streets. In the city center, Matsushima had to travel in sequence 280 m north, 220 m east, 360 m north, 300 m west, 1

Electric force on an electron

What is the electric force (with direction) on an electron in a uniform electric field of strength 2780 N/C that points due east? Take the positive direction to be east.

Components of a vector and unit vectors

While exploring a cave a woman starts at the entrance and moves the following distances. She goes 75.0m north,250m east, 125m @an angle of 30 degrees north of east and 150m south. Find the resultant displacement from the cave entrance.